Applications of Polynomials

What is the area for the given rectangle:

• 6x³ - 9x² + 10x - 15

• 6x² + 1x - 15

• 6x² + 4x + 4

• 6x³ + 1x² - 15x

What is the perimeter for the given rectangle:

• 6x³ - 9x² + 10x - 15

• 6x² + 1x - 15

• 6x² + 4x + 4

• 6x³ + 1x² - 15x

Find the width for a rectangle that has an area of 2x² + 6x – 8 and length of 2x – 2

• x + 4

• 2x² + 4x – 6

• x - 4

• x + 4 - 16/(2x-2)

Find the area of a rectangle with length (x-5) and width (3x+1).

• 3x²+16x-5

• 3x²-14x+5

• 3x²-14x-5

Find the volume of a rectangular prism with length (x+2), width (x-4), and height (2x+1).

You want to create a garden in your backyard. Given are the dimensions of the garden and a border. Determine the area of the gray border surrounding the garden bed.

• 8x + 24

• 6x + 32

• 2x² - 8x + 4

• x² + 16x + 16

A square of side x inches is cut out of each corner of a 10 in x 18 in piece of cardboard and the sides are folded up to form an open-top box. Write the volume, V, of the box as a function of x.

• V(x) = 2x (18 - x) (10 - x)

• V(x) = x ( 18 - 2x) (10 - 2x)

• V(x) = (18 - x) (10 - x)

• V(x) = x (18 - x) ( 10 - x)

Find the area of the shaded region.

What is the Area?

What is the Perimeter?

• 3x - 3 inches

• 6x - 6 inches

• 3x - 6 inches

• 6x - 3 inches